Topological Functors via Closure Operators

In this article for a given category X , we fully embed certain categories of closure operators on a given collection M ⊆ X1, in certain categories of preclass-valued lax presheaves on X . We then fully embed the just mentioned categories of preclass-valued lax presheaves on X , in certain categories of topological functors on X . Combining the full embeddings obtained, we construct a topological functor from a given closure operator.

Keywords:

Closure operator, lax presheaf, lax natural transformation (complete) preordered or partially ordered class, (weak) topological functor,

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